Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams-Reference-Cited by-同舟云学术

Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams

Published:2020-09-16 Issue:12 Volume:87 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Harvey Philip S.¹,Wiebe Richard²,Cain Thomas M. N.¹

Affiliation:

1. School of Civil Engineering and Environmental Science, University of Oklahoma, Norman, OK 73019

2. Department of Civil and Environmental Engineering, University of Washington, Seattle, WA 98195

Abstract

Abstract A buckled beam with shallow rise under lateral constraint is considered. The initial rise results from a prescribed end displacement. The beam is modeled as inextensible, and analytical solutions of the equilibria are obtained from a constrained energy minimization problem. For simplicity, the results are derived for the archetypal beam with pinned ends. It is found that there are an infinite number of zero lateral-load equilibria, each corresponding to an Euler buckling mode. A numerical model is used to verify the accuracy of the model and also to explore the effects of extensibility.

Funder

Air Force Office of Scientific Research

National Science Foundation

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/87/12/121007/6566396/jam_87_12_121007.pdf

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